Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.4s (52.6%)

Memory

23.2MiB live, 1 222.5MiB allocated; 465ms collecting garbage

Samples

416.0ms	2 534×	1	valid
407.0ms	5 671×	0	valid
6.0ms	51×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 394.0ms

ival-mult!: 228.0ms (57.9% of total)

adjust: 74.0ms (18.8% of total)

ival-sub!: 61.0ms (15.5% of total)

ival-add!: 31.0ms (7.9% of total)

Bogosity

preprocess26.0ms (1%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	129
1	228	129

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Compiler

Compiled 30 to 18 computations (40% saved)

series189.0ms (7.2%)

Memory

7.8MiB live, 65.0MiB allocated; 20ms collecting garbage

Counts

9 → 30

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 y y))
(*.f64 x y)
x
y
(*.f64 y y)
(*.f64 y z)
z

Outputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 y z)))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (-.f64 (fma.f64 x y (pow.f64 y #s(literal 2 binary64))) (*.f64 y z)))
#s(approx (+ (* x y) (* y y)) (pow.f64 y #s(literal 2 binary64)))
#s(approx (+ (* x y) (* y y)) (fma.f64 x y (pow.f64 y #s(literal 2 binary64))))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (.f64 x (-.f64 (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 (.f64 y z) x))))
#s(approx (+ (* x y) (* y y)) (*.f64 x (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 y z) x)))))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 y z)) x))))))
#s(approx (+ (* x y) (* y y)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (*.f64 y (-.f64 (+.f64 x y) z)))
#s(approx (+ (* x y) (* y y)) (*.f64 y (+.f64 x y)))
#s(approx y y)
#s(approx (* y z) (*.f64 y z))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 z y))))
#s(approx (+ (* x y) (* y y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)) y)))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 x y)))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (fma.f64 #s(literal -1 binary64) (*.f64 y z) (fma.f64 x y (pow.f64 y #s(literal 2 binary64)))))
#s(approx z z)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 z (-.f64 (/.f64 (.f64 x y) z) y)))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (.f64 z (-.f64 (+.f64 (/.f64 (.f64 x y) z) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) y)))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (- (+ (* x y) (* y y)) (* y z)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (pow.f64 y #s(literal 2 binary64))) z)) (.f64 #s(literal -1 binary64) y)))))

Calls

9 calls:

Time	Variable	Point
3.0ms	y	-inf
3.0ms	y	inf
2.0ms	z	-inf
2.0ms	y	0
1.0ms	x	-inf

rewrite284.0ms (10.7%)

Memory

-12.2MiB live, 80.3MiB allocated; 29ms collecting garbage

Counts

9 → 35

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))
(+.f64 (.f64 x y) (.f64 y y))
(*.f64 x y)
x
y
(*.f64 y y)
(*.f64 y z)
z

Outputs
(+.f64 (-.f64 (.f64 y (+.f64 x y)) (.f64 y z)) (neg.f64 (*.f64 y y)))
(+.f64 (-.f64 (.f64 y (+.f64 x y)) (.f64 y z)) (*.f64 (neg.f64 y) y))
(-.f64 (.f64 y (+.f64 x y)) (fma.f64 y z (.f64 y y)))
(-.f64 (-.f64 (.f64 y (+.f64 x y)) (.f64 y z)) (*.f64 y y))
(neg.f64 (-.f64 (.f64 y y) (-.f64 (.f64 y (+.f64 x y)) (*.f64 y z))))
(+.f64 (.f64 y (+.f64 x y)) (neg.f64 (.f64 y z)))
(+.f64 (.f64 y (+.f64 x y)) (.f64 (neg.f64 y) z))
(+.f64 (.f64 x y) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y z))
(fma.f64 y (+.f64 x y) (*.f64 (neg.f64 y) z))
(fma.f64 x y (-.f64 (.f64 y y) (.f64 y z)))
(fma.f64 y x (-.f64 (.f64 y y) (.f64 y z)))
(fma.f64 y (+.f64 x y) (neg.f64 (*.f64 y z)))
(neg.f64 (-.f64 (.f64 y z) (.f64 y (+.f64 x y))))
(*.f64 y (+.f64 x y))
(+.f64 (.f64 x y) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x y))
(-.f64 (.f64 x y) (neg.f64 (.f64 y y)))
(-.f64 (.f64 x y) (.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x y))
(fma.f64 y y (*.f64 x y))
(fma.f64 x y (*.f64 y y))
(fma.f64 y x (*.f64 y y))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 y y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(pow.f64 y #s(literal 2 binary64))
(*.f64 y z)
(*.f64 z y)
z

eval19.0ms (0.7%)

Memory: 19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 167 to 227 computations (80.5% saved)

prune36.0ms (1.4%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	1	59

Accuracy

100.0%

Counts

59 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series142.0ms (5.4%)

Memory

-28.8MiB live, 68.5MiB allocated; 26ms collecting garbage

Counts

6 → 22

Calls

Call 1

Inputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z

Outputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
#s(approx (* y (- x z)) (fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 x y)))
#s(approx (- x z) (*.f64 #s(literal -1 binary64) z))
#s(approx (- x z) (-.f64 x z))
#s(approx x x)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- x z) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 y z) x)))))
#s(approx (- x z) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64)))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
#s(approx y y)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))
#s(approx (- x z) (+.f64 x (*.f64 #s(literal -1 binary64) z)))
#s(approx z z)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 z (-.f64 (/.f64 (.f64 x y) z) y)))
#s(approx (* y (- x z)) (.f64 z (fma.f64 #s(literal -1 binary64) y (/.f64 (.f64 x y) z))))
#s(approx (- x z) (*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y)))))
#s(approx (* y (- x z)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))))))
#s(approx (- x z) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z))))))

Calls

9 calls:

Time	Variable	Point
9.0ms	y	0
3.0ms	z	-inf
3.0ms	x	-inf
2.0ms	x	inf
2.0ms	y	-inf

rewrite187.0ms (7.1%)

Memory

35.4MiB live, 127.2MiB allocated; 17ms collecting garbage

Counts

6 → 9

Calls

Call 1

Inputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z

Outputs
#s(approx (- (- (* y (+ x y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
(*.f64 y (-.f64 x z))
(*.f64 (-.f64 x z) y)
y
(+.f64 x (neg.f64 z))
(-.f64 x z)
(neg.f64 (-.f64 z x))
x
z

eval16.0ms (0.6%)

Memory: -36.3MiB live, 10.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 652 to 121 computations (81.4% saved)

prune3.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Accuracy

100.0%

Counts

26 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
▶	54.8%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series130.0ms (4.9%)

Memory

-20.6MiB live, 42.3MiB allocated; 51ms collecting garbage

Counts

4 → 12

Calls

Call 1

Inputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))
(*.f64 x y)
x
y

Outputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y z)))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (-.f64 (.f64 x y) (.f64 y z)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) y (/.f64 (*.f64 y z) x)))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
#s(approx y y)
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z)))))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 x y)))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 z (-.f64 (/.f64 (.f64 x y) z) y)))
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y)))))

Calls

9 calls:

Time	Variable	Point
2.0ms	y	-inf
1.0ms	x	-inf
1.0ms	y	inf
1.0ms	x	inf
1.0ms	y	0

rewrite193.0ms (7.3%)

Memory

21.1MiB live, 107.4MiB allocated; 41ms collecting garbage

Counts

4 → 5

Calls

Call 1

Inputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))
(*.f64 x y)
x
y

Outputs
#s(approx (- (- (* y (+ x y)) (* y z)) (* y y)) (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
x
y

eval2.0ms (0.1%)

Memory: 2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 307 to 58 computations (81.1% saved)

prune1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Accuracy

100.0%

Counts

15 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))
✓	54.8%	#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes12.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))

Outputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))

Call 2

Inputs

#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 x y))

#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))

(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))

Outputs
#s(approx (- (- (+ (* x y) (* y y)) (* y z)) (* y y)) (*.f64 y (-.f64 x z)))

Calls

8 calls:

2.0ms	z
2.0ms	y
1.0ms	x
1.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
1.0ms	z

Results

Accuracy	Segments	Branch
54.8%	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`
54.8%	1	`x`
54.8%	1	`y`
54.8%	1	`z`
100.0%	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 91 to 55 computations (39.6% saved)

derivations0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 40 to 14 computations (65% saved)

preprocess14.0ms (0.5%)

Memory: -22.9MiB live, 24.7MiB allocated; 2ms collecting garbage
Compiler: Compiled 55 to 23 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (52.6%)

preprocess26.0ms (1%)

series189.0ms (7.2%)

rewrite284.0ms (10.7%)

eval19.0ms (0.7%)

prune36.0ms (1.4%)

series142.0ms (5.4%)

rewrite187.0ms (7.1%)

eval16.0ms (0.6%)

prune3.0ms (0.1%)

series130.0ms (4.9%)

rewrite193.0ms (7.3%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

regimes12.0ms (0.4%)

derivations0.0ms (0%)

preprocess14.0ms (0.5%)

end0.0ms (0%)

Profiling